Dodik was president of Republika Srpska, the Serbian part of Bosnia-Herzegovina.
He was sentenced in February to one year in prison and a ban on holding political offices for six years. In early August, a higher instance upheld the verdict against Dodik.
But instead of the prison sentence, he will now pay a fine, announces a court in Bosnia-Herzegovina.
The ban on holding political offices for six years and the dismissal as president, however, remains.
Dodik said before the verdict in early August that he will announce a referendum on whether he should accept the court's decision or not.